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Finding the Fourth Proportional to 219,638.70, 329,458.05 and 185,424.30

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Solution

The fourth proportional to 219,638.70, 329,458.05 and 185,424.30 is: 278,136.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,638.70 : 329,458.05 = 185,424.30 : x
  2. Step 2: Convert to fraction form
    219,638.70/329,458.05 = 185,424.30/x
  3. Step 3: Cross multiply
    219,638.70x = 329,458.05 × 185,424.30
  4. Step 4: Simplify right side
    219,638.70x = 61,089,528,300.62
  5. Step 5: Solve for x
    x = 61,089,528,300.62/219,638.70
  6. Step 6: Final answer
    x = 278,136.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.